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A Landesman-Lazer type condition for second-order differential equations with a singularity at resonance |
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| Authors: | Jin Li Zaihong Wang |
| Institution: | 1. School of Science, Jiujiang University, Jiujiang, 332005, China.;2. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China.;3. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China. |
| Abstract: | In this paper, we are concerned with the existence of positive periodic solutions for second-order differential equations with a singularity at resonance. A Landesman-Lazer type condition is given to obtain the existence of positive periodic solutions using phase-plane analysis method and topological degree method. |
| Keywords: | periodic solutions singularity at resonance Landesman-Lazer type condition |